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Simplifying 73 = (k + -7) + 6(k + 5) Reorder the terms: 73 = (-7 + k) + 6(k + 5) Remove parenthesis around (-7 + k) 73 = -7 + k + 6(k + 5) Reorder the terms: 73 = -7 + k + 6(5 + k) 73 = -7 + k + (5 * 6 + k * 6) 73 = -7 + k + (30 + 6k) Reorder the terms: 73 = -7 + 30 + k + 6k Combine like terms: -7 + 30 = 23 73 = 23 + k + 6k Combine like terms: k + 6k = 7k 73 = 23 + 7k Solving 73 = 23 + 7k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-7k' to each side of the equation. 73 + -7k = 23 + 7k + -7k Combine like terms: 7k + -7k = 0 73 + -7k = 23 + 0 73 + -7k = 23 Add '-73' to each side of the equation. 73 + -73 + -7k = 23 + -73 Combine like terms: 73 + -73 = 0 0 + -7k = 23 + -73 -7k = 23 + -73 Combine like terms: 23 + -73 = -50 -7k = -50 Divide each side by '-7'. k = 7.142857143 Simplifying k = 7.142857143
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